
Understanding Function Intervals and Relative Extrema

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Emma Peterson
Used 1+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the lesson in the video?
Using calculus to find function intervals
Determining intervals where a function is increasing or decreasing and identifying relative extrema
Graphing linear functions
Solving quadratic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a function considered to be increasing on an open interval?
When for any x1 and x2 in the interval, if x2 is greater than x1, then f(x2) is less than f(x1)
When for any x1 and x2 in the interval, if x2 is greater than x1, then f(x2) is equal to f(x1)
When for any x1 and x2 in the interval, if x2 is greater than x1, then f(x2) is greater than f(x1)
When for any x1 and x2 in the interval, if x2 is less than x1, then f(x2) is greater than f(x1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the graph of a function when it is decreasing on an open interval?
The graph oscillates
The graph remains constant
The graph moves downward from left to right
The graph moves upward from left to right
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where do relative extrema occur?
Where a function has a horizontal tangent
Where a function changes from increasing to decreasing or from decreasing to increasing
Where a function is constant
Where a function has a vertical tangent
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relative minimum point found in the quadratic function example?
(0, -5)
(1, 5)
(2, -5)
(1, -5)
Tags
CCSS.HSF-IF.C.7A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
On which interval is the quadratic function decreasing?
From 2 to positive infinity
From 1 to positive infinity
From 1 to 2
From negative infinity to 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of function is used in the second example?
Exponential function
Linear function
Cubic function
Quadratic function
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